My application is a little different, but I think the same strategy applies.
I have only the rubber pinchweld (?) with no chrome trim. I believe the groove is similar.
Last Saturday I installed the whole shooting match. First the gasket, next the back glass, then the pinchweld. I used a plastic tapered knife-like tool that the guys at the local glass shop gave me. It is nylon and is like a cross between the shape of a plastic knife and a carpenter's pencil.
I added dishwashing soap to the water in a spray bottle, then wetted about 6" of both the gasket and the pinchweld. I inserted the tool into the gasket groove and wedged it open. When open, I inserted the pinchweld. Once started, I just kept wetting and sliding the knife into the groove and cramming the pinchweld in place.
Honestly, it was harder to mount the glass than it was to install the pinchweld. I was expecting the opposite after reading the horror stories about how hard it is. My experience was different. I think repeatedly wetting it helped keep things slick.
Hope this applies somehow to your application.
Good luck.
Bill